Comparison of two Lindstedt-Poincare-type perturbation methods

被引：40

作者：

Hu, H ^{[1
]}

Xiong, ZG ^{[1
]}

机构：

[1] Hunan Univ Sci & Technol, Sch Civil Engn, Xiangtan 411201, Hunan, Peoples R China

来源：

JOURNAL OF SOUND AND VIBRATION | 2004年 / 278卷 / 1-2期

关键词：

D O I：

10.1016/j.jsv.2003.12.007

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

A comparison of two Lindstedt-Pointcaré perturbation methods is presented. The methods are modified perturbation method (method 1) and an classical perturbation method (method 2). The method 2 is valid for large parameters. The methods are used to analyze the non-linear oscillations. The two methods are also used to solve the Duffing equations. It is found that method 2 works for nonlinear systems and it works when the linear part of the restoring force is zero.

引用

页码：437 / 444

页数：8

共 6 条

[1]

He J H, 2002, APPROXIMATE NONLINEA

[2] A classical perturbation technique that works even when the linear part of restoring force is zero [J].

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[3] A classical perturbation technique which is valid for large parameters [J].

Hu, H .

JOURNAL OF SOUND AND VIBRATION, 2004, 269 (1-2) :409-412

[4]

MICKENS RE, 1996, OSCILLAITONS PLANAR

[5]

Nayfeh A. H., 1979, NONLINEAR OSCILLATIO

[6]

Nayfeh A. H., 1981, Introduction to Perturbation Techniques

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